This contribution is part of the special series of Inaugural Articles by members of the National Academy of Sciences elected in 2024.

To mathematicians, equations are art. Just as many are moved by a painting or piece of music, to those who appreciate and understand math, expressions of numbers, variables, operations and relations ...

Abstract: This letter makes the first steps towards a behavioral theory of LPV state-space representations with only affine dependence on the scheduling signal, by characterizing minimality of such ...

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Note: IEEE Xplore ® Notice to Reader: "On the Strong-Accessibility Test for Meromorphic Nonlinear Systems”"by Francesco Carravetta published in IEEE Transactions on Automatic Control Early Access ...

joint post with Heiko Gimperlein and Magnus Goffeng. In the previous post, On the Magnitude Function of Domains in Euclidean Space, I, Heiko and Magnus explained the main theorem in their paper In ...

Here, we revisit Ramanujan’s original definition from his deathbed letter (1, p 221). After a discussion of the asymptotics of certain modular forms, which are given as Eulerian series, he writes: ...

ABSTRACT: In this paper, we prove a result on the uniqueness of meromorphic functions sharing three values counting multiplicity and improve a result obtained by Xiaomin Li and Hongxun Yi.

ABSTRACT: Considering the uniqueness of meromorphic functions concerning differential monomials ,we obtain that, if two non-constant meromorphic functions f(z) and g(z) satisfy ,where k and n are tow ...